42038352 has 100 divisors (see below), whose sum is σ = 123032800. Its totient is φ = 13856832.

The previous prime is 42038323. The next prime is 42038369. The reversal of 42038352 is 25383024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211149 + ... + 211347.

It is an arithmetic number, because the mean of its divisors is an integer number (1230328).

Almost surely, 2^42038352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42038352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61516400).

42038352 is an abundant number, since it is smaller than the sum of its proper divisors (80994448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42038352 is a wasteful number, since it uses less digits than its factorization.

42038352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42038352 is about 6483.6989442756. The cubic root of 42038352 is about 347.7084359304.

The spelling of 42038352 in words is "forty-two million, thirty-eight thousand, three hundred fifty-two".